Question

transversal problems with equations (level 1)
question
given ( m parallel n ), find the value of x.
answer
attempt 1 out of 3
( x = )

Explanation:

Step1: Use the property of same - side interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), the sum of same - side interior angles is \(180^{\circ}\). So, \((5x - 10)+(6x + 3)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(5x+6x-10 + 3=180\), which simplifies to \(11x-7 = 180\).

Step3: Solve for \(x\)

Add \(7\) to both sides of the equation: \(11x-7+7=180 + 7\), so \(11x=187\).
Divide both sides by \(11\): \(x=\frac{187}{11}\).

Answer:

\(x = 17\)